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Finding the Fourth Proportional to 385,752.50, 532,343.94 and 222,405.78

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Solution

The fourth proportional to 385,752.50, 532,343.94 and 222,405.78 is: 306,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,752.50 : 532,343.94 = 222,405.78 : x
  2. Step 2: Convert to fraction form
    385,752.50/532,343.94 = 222,405.78/x
  3. Step 3: Cross multiply
    385,752.50x = 532,343.94 × 222,405.78
  4. Step 4: Simplify right side
    385,752.50x = 118,396,369,203.97
  5. Step 5: Solve for x
    x = 118,396,369,203.97/385,752.50
  6. Step 6: Final answer
    x = 306,923.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.